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Finding the Third Proportional to 298,617 and 649,722

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Solution

The third proportional to 298,617 and 649,722 is: 1,413,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,617 : 649,722 = 649,722 : x
  2. Step 2: Convert to fraction form
    298,617/649,722 = 649,722/x
  3. Step 3: Cross multiply
    298,617x = 649,722 × 649,722
  4. Step 4: Simplify right side
    298,617x = 422,138,677,284
  5. Step 5: Solve for x
    x = 422,138,677,284/298,617
  6. Step 6: Final answer
    x = 1,413,645.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.